Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!eternal-september.org!.POSTED!not-for-mail From: Moebius Newsgroups: sci.math Subject: Re: The reality of sets, on a scale of 1 to 10 [Was: The non-existence of "dark numbers"] Date: Tue, 25 Mar 2025 21:46:45 +0100 Organization: A noiseless patient Spider Lines: 25 Message-ID: References: <9e0c7e728f7de44e13450d7401fe65d36c5638f3@i2pn2.org> Reply-To: invalid@example.invalid MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Tue, 25 Mar 2025 21:46:47 +0100 (CET) Injection-Info: dont-email.me; posting-host="8ab5fca16cecc7178b4c909ee35f043b"; logging-data="146527"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1+vXinU3JCBlT0ch2HJ0jIp" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:mCYa1N7dRRhAmFpEkGsVTEBuuN8= In-Reply-To: Content-Language: de-DE Bytes: 2451 Am 25.03.2025 um 20:03 schrieb Moebius: > Am 25.03.2025 um 19:27 schrieb Alan Mackenzie: >> WM wrote: > > Just want to point out this idiotic nonsense: > >>> [...] It is simply a property of potentially infinite initial >>> segments of [an] actually infinite set. > > What the hell are "potentially infinite initial segments of ". > Beware of Mückenheim's delusions! > > THIS SILLY ASSHOLE FULL OF SHIT seems to refer to FINITE initial > segments of here. (FISONs in the case of IN.) @Mückenhirn: FISONs sind ENDLICHE MENGEN. Also Mengen der "Form" {1, 2, 3, ..., n} mit n e IN. Davon gibt es _unendlich viele_. Mit anderen Worten, die Menge FIS := {{1, 2, 3, ..., n} : n e IN} ist unendlich. Außerhalb Deines Wahnsystems gilt dann: U FIS = IN .